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Analysis of Symmetric and Skewed Distributions with Median and Range Assessments

This report analyzes multiple distributions, highlighting their characteristics. One distribution is symmetric, bell-shaped, with a median of 7, values ranging from 2 to 12, and no apparent outliers. Another is mound-shaped but skewed right, with a median of 7.5% and a range of 0% to 30%, featuring a gap at 22.5%. A third distribution is bell-shaped, centered around 55 years old, ranging from 40 to 70 years, also with no outliers. A comparison of two distributions is made along with the creation of relevant histograms, boxplots, and a scenario generating this data.

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Analysis of Symmetric and Skewed Distributions with Median and Range Assessments

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  1. 30 Second Paragraph Describe Distributions

  2. Describe this distribution

  3. The distribution is roughly symmetric and bell shaped or mounded • The median appears to be 7 • The values vary from 2 to 12 • There do not appear to be any outliers

  4. Describe this distribution

  5. Mound shaped but Skewed to the right • Median percent is around 7.5% • Range extends from 0% to 30% with a small gap at 22.5%

  6. Describe this distribution

  7. The distribution is roughly symmetric and bell-shaped • The median appears to be 55 years old • The range is from 40 to 70 • There do not appear to be any outliers

  8. Create a histogram that corresponds to this distribution and then check that the description of the O-give was correct.

  9. Describe this distribution

  10. 2006#1

  11. 2006#1

  12. 2005#1

  13. 2005#1 Note: Specific numerical values are not required.

  14. Compare the two distributions.

  15. Create a scenario that could generate this data and describe the results.

  16. 2003#1

  17. 2003#1

  18. 2003#1

  19. 2003#1

  20. Create a graph based on the following description: • Centered at 12 • Little variability • Roughly symmetric and mound shaped • Very slightly skewed to the left • Tightly clustered as roughly half of the data points are within +/- 1 of center • Range of data from 6.8 to 16.8

  21. 2008#1 Create a sketch of the side-by-side boxplots described above.

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